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Error estimates for finite element approximations of drag and lift in nonstationary Navier-Stokes flows

  • Masahisa TabataEmail author
  • Daisuke Tagami
Article

Abstract

Error estimates are obtained for finite element approximations of the drag and the lift of a body immersed in nonstationary Navier-Stokes flows. By virtue of a consistent flux technique, the error estimates are reduced to those of the velocity as well as its first order derivatives and the pressure. Semi-implicit backward Euler method is used for the time integration and no stability condition is required. The error estimate in a square summation norm is optimal in the sense that it has the same order as the fundamental error estimate of the velocity. The error estimate in the supremum norm is not optimal in general but it is so for some finite elements.

Key words

drag and lift error estimates finite element method nonstationary Navier-Stokes equations 

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Copyright information

© JJIAM Publishing Committee 2000

Authors and Affiliations

  1. 1.Graduate School of MathematicsKyushu University 33FukuokaJapan
  2. 2.Department of Intelligent Machinery and Systems, Graduate School of EngineeringKyushu University 36FukuokaJapan

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